Role of holographic dark energy models and complexity analysis of deformed wormholes under exotic fluid

This study presents and analyzes a new class of static, spherically symmetric wormholes, formulated using the minimal geometric deformation approach within the framework of Einstein’s gravity. Once the radial deformation is applied to the field equations, they are separated into two distinct systems. To solve the seed configuration described by the first set, we impose a specific realistic equation of state. The second set is solved by introducing holographic dark energy models into the extra gravitational source. We subsequently analyze the resulting shape functions to determine if they satisfy the necessary conditions for asymptotically flat spacetimes. We also employ a class of diagnostic tools such as the embedding diagram, volume integral quantifier, mass function, exoticity parameter, anisotropy, and complexity to investigate the characteristics of the constructed geometries. By examining these factors, we gain further clarity on how matter and energy are organized and distributed throughout the cosmos. Finally, we conclude that the resulting wormhole solutions offer both the exotic matter necessary to be sustained and consistently well-behaved geometric features.